Fatou’s lemma

If f1,f2, is a sequence of nonnegative measurable functionsMathworldPlanetmath in a measure spaceMathworldPlanetmath X, then

Xlim infnfnlim infnXfn
Title Fatou’s lemma
Canonical name FatousLemma
Date of creation 2013-03-22 13:12:50
Last modified on 2013-03-22 13:12:50
Owner Koro (127)
Last modified by Koro (127)
Numerical id 6
Author Koro (127)
Entry type Theorem
Classification msc 28A20
Related topic FatouLebesgueTheorem
Related topic MonotoneConvergenceTheorem
Related topic DominatedConvergenceTheorem